Title :
Comparison of two calculation methods of the optimal switching instants of a hybrid dynamic system
Author :
Cébron, Benoit ; Sechilariu, Manuela ; Burger, Jacques
Author_Institution :
lab. d´´Ingenieres des Syst. Autom., Angers Univ., France
Abstract :
Two calculation methods of the optimal switching instants of a hybrid dynamic system are presented. The control problem is set as a minimization problem of the deviation between the state and a desired state, at the final instant. The first method uses the Lagrangian technique to calculate the gradient of a cost function and implements the Fletcher-Reeves descent method (Minoux, 1983). The second method is based on interval analysis. The set inversion algorithm SIVIA (Jaulin and Burger, 1999) which is presented and implemented, ensures guaranteed results. Both methods are applied to an example then compared
Keywords :
discrete event systems; minimisation; optimal control; Lagrangian technique; SIVIA; calculation methods; control problem; cost function; descent method; hybrid dynamic system; interval analysis; minimization problem; optimal switching instants; set inversion algorithm; Automatic control; Continuous time systems; Control systems; Cost function; Equations; Lagrangian functions; Neodymium; Optimal control; Switches;
Conference_Titel :
Systems, Man, and Cybernetics, 1999. IEEE SMC '99 Conference Proceedings. 1999 IEEE International Conference on
Conference_Location :
Tokyo
Print_ISBN :
0-7803-5731-0
DOI :
10.1109/ICSMC.1999.814081